Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The Bounded Gap Conjecture and bounds between consecutive Goldbach numbers

100%

Pintz J.

Acta Arithmetica

2012

tom 155

nr 4

397-405

Primes in tuples IV: Density of small gaps between consecutive primes

51%

Goldston D., Pintz J., Yıldırım C.

Acta Arithmetica

2013

tom 160

nr 1

37-53

We prove that given any small but fixed η > 0, a positive proportion of all gaps between consecutive primes are smaller than η times the average gap. We show some unconditional and conditional quantitative results in this vein. In the results the dependence on η is given explicitly, providing a new quantitative way, in addition to that of the first paper in this series, of measuring the effect of the knowledge on the level of distribution of primes.

Ograniczanie wyników

2 Acta Arithmetica

2 Pintz J.

1 Goldston D.

1 Yıldırım C.

1 2013

1 2012

Wyniki wyszukiwania

The Bounded Gap Conjecture and bounds between consecutive Goldbach numbers

Primes in tuples IV: Density of small gaps between consecutive primes